16=5(x-4)-(x-8)

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Solution for 16=5(x-4)-(x-8) equation: 


Simplifying
16 = 5(x + -4) + -1(x + -8)

Reorder the terms:
16 = 5(-4 + x) + -1(x + -8)
16 = (-4 * 5 + x * 5) + -1(x + -8)
16 = (-20 + 5x) + -1(x + -8)

Reorder the terms:
16 = -20 + 5x + -1(-8 + x)
16 = -20 + 5x + (-8 * -1 + x * -1)
16 = -20 + 5x + (8 + -1x)

Reorder the terms:
16 = -20 + 8 + 5x + -1x

Combine like terms: -20 + 8 = -12
16 = -12 + 5x + -1x

Combine like terms: 5x + -1x = 4x
16 = -12 + 4x

Solving
16 = -12 + 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.
16 + -4x = -12 + 4x + -4x

Combine like terms: 4x + -4x = 0
16 + -4x = -12 + 0
16 + -4x = -12

Add '-16' to each side of the equation.
16 + -16 + -4x = -12 + -16

Combine like terms: 16 + -16 = 0
0 + -4x = -12 + -16
-4x = -12 + -16

Combine like terms: -12 + -16 = -28
-4x = -28

Divide each side by '-4'.
x = 7

Simplifying
x = 7

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